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Finding the Fourth Proportional to 5,307.22, 7,922.63 and 4,922.74

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Solution

The fourth proportional to 5,307.22, 7,922.63 and 4,922.74 is: 7,348.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.22 : 7,922.63 = 4,922.74 : x
  2. Step 2: Convert to fraction form
    5,307.22/7,922.63 = 4,922.74/x
  3. Step 3: Cross multiply
    5,307.22x = 7,922.63 × 4,922.74
  4. Step 4: Simplify right side
    5,307.22x = 39,001,047.61
  5. Step 5: Solve for x
    x = 39,001,047.61/5,307.22
  6. Step 6: Final answer
    x = 7,348.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.